What is the Least Common Multiple of 70227 and 70236?
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 70227 and 70236 is 548051508.
LCM(70227,70236) = 548051508
Least Common Multiple of 70227 and 70236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70227 and 70236, than apply into the LCM equation.
GCF(70227,70236) = 9
LCM(70227,70236) = ( 70227 × 70236) / 9
LCM(70227,70236) = 4932463572 / 9
LCM(70227,70236) = 548051508
Least Common Multiple (LCM) of 70227 and 70236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70227 and 70236. First we will calculate the prime factors of 70227 and 70236.
Prime Factorization of 70227
Prime factors of 70227 are 3, 17. Prime factorization of 70227 in exponential form is:
70227 = 35 × 172
Prime Factorization of 70236
Prime factors of 70236 are 2, 3, 1951. Prime factorization of 70236 in exponential form is:
70236 = 22 × 32 × 19511
Now multiplying the highest exponent prime factors to calculate the LCM of 70227 and 70236.
LCM(70227,70236) = 35 × 172 × 22 × 19511
LCM(70227,70236) = 548051508
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