What is the Least Common Multiple of 97076 and 97082?

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 of 97076 and 97082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97076 and 97082, than apply into the LCM equation.

GCF(97076,97082) = 2
LCM(97076,97082) = ( 97076 × 97082) / 2
LCM(97076,97082) = 9424332232 / 2
LCM(97076,97082) = 4712166116

Least Common Multiple (LCM) of 97076 and 97082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97076 and 97082. First we will calculate the prime factors of 97076 and 97082.

Prime Factorization of 97076

Prime Factorization of 97082

Now multiplying the highest exponent prime factors to calculate the LCM of 97076 and 97082.

LCM(97076,97082) = 2² × 7¹ × 3467¹ × 48541¹
LCM(97076,97082) = 4712166116