What is the Least Common Multiple of 97076 and 97092?

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 97092 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 97092, than apply into the LCM equation.

GCF(97076,97092) = 4
LCM(97076,97092) = ( 97076 × 97092) / 4
LCM(97076,97092) = 9425302992 / 4
LCM(97076,97092) = 2356325748

Least Common Multiple (LCM) of 97076 and 97092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97076 and 97092. First we will calculate the prime factors of 97076 and 97092.

Prime Factorization of 97076

Prime Factorization of 97092

Now multiplying the highest exponent prime factors to calculate the LCM of 97076 and 97092.

LCM(97076,97092) = 2² × 7¹ × 3467¹ × 3³ × 29¹ × 31¹
LCM(97076,97092) = 2356325748