What is the Least Common Multiple of 96620 and 96638?
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 96620 and 96638 is 4668581780.
LCM(96620,96638) = 4668581780
Least Common Multiple of 96620 and 96638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96620 and 96638, than apply into the LCM equation.
GCF(96620,96638) = 2
LCM(96620,96638) = ( 96620 × 96638) / 2
LCM(96620,96638) = 9337163560 / 2
LCM(96620,96638) = 4668581780
Least Common Multiple (LCM) of 96620 and 96638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96620 and 96638. First we will calculate the prime factors of 96620 and 96638.
Prime Factorization of 96620
Prime factors of 96620 are 2, 5, 4831. Prime factorization of 96620 in exponential form is:
96620 = 22 × 51 × 48311
Prime Factorization of 96638
Prime factors of 96638 are 2, 211, 229. Prime factorization of 96638 in exponential form is:
96638 = 21 × 2111 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 96620 and 96638.
LCM(96620,96638) = 22 × 51 × 48311 × 2111 × 2291
LCM(96620,96638) = 4668581780
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