What is the Least Common Multiple of 88244 and 88264?
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 88244 and 88264 is 1947192104.
LCM(88244,88264) = 1947192104
Least Common Multiple of 88244 and 88264 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88244 and 88264, than apply into the LCM equation.
GCF(88244,88264) = 4
LCM(88244,88264) = ( 88244 × 88264) / 4
LCM(88244,88264) = 7788768416 / 4
LCM(88244,88264) = 1947192104
Least Common Multiple (LCM) of 88244 and 88264 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88244 and 88264. First we will calculate the prime factors of 88244 and 88264.
Prime Factorization of 88244
Prime factors of 88244 are 2, 13, 1697. Prime factorization of 88244 in exponential form is:
88244 = 22 × 131 × 16971
Prime Factorization of 88264
Prime factors of 88264 are 2, 11, 17, 59. Prime factorization of 88264 in exponential form is:
88264 = 23 × 111 × 171 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 88244 and 88264.
LCM(88244,88264) = 23 × 131 × 16971 × 111 × 171 × 591
LCM(88244,88264) = 1947192104
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