What is the Least Common Multiple of 97932 and 97937?
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 97932 and 97937 is 9591166284.
LCM(97932,97937) = 9591166284
Least Common Multiple of 97932 and 97937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97932 and 97937, than apply into the LCM equation.
GCF(97932,97937) = 1
LCM(97932,97937) = ( 97932 × 97937) / 1
LCM(97932,97937) = 9591166284 / 1
LCM(97932,97937) = 9591166284
Least Common Multiple (LCM) of 97932 and 97937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97932 and 97937. First we will calculate the prime factors of 97932 and 97937.
Prime Factorization of 97932
Prime factors of 97932 are 2, 3, 8161. Prime factorization of 97932 in exponential form is:
97932 = 22 × 31 × 81611
Prime Factorization of 97937
Prime factors of 97937 are 7, 17, 823. Prime factorization of 97937 in exponential form is:
97937 = 71 × 171 × 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 97932 and 97937.
LCM(97932,97937) = 22 × 31 × 81611 × 71 × 171 × 8231
LCM(97932,97937) = 9591166284
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