What is the Least Common Multiple of 88231 and 88236?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 88231 and 88236 is 7785150516.
LCM(88231,88236) = 7785150516
Least Common Multiple of 88231 and 88236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88231 and 88236, than apply into the LCM equation.
GCF(88231,88236) = 1
LCM(88231,88236) = ( 88231 × 88236) / 1
LCM(88231,88236) = 7785150516 / 1
LCM(88231,88236) = 7785150516
Least Common Multiple (LCM) of 88231 and 88236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88231 and 88236. First we will calculate the prime factors of 88231 and 88236.
Prime Factorization of 88231
Prime factors of 88231 are 11, 13, 617. Prime factorization of 88231 in exponential form is:
88231 = 111 × 131 × 6171
Prime Factorization of 88236
Prime factors of 88236 are 2, 3, 19, 43. Prime factorization of 88236 in exponential form is:
88236 = 22 × 33 × 191 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 88231 and 88236.
LCM(88231,88236) = 111 × 131 × 6171 × 22 × 33 × 191 × 431
LCM(88231,88236) = 7785150516
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Related Least Common Multiples of 88236
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