What is the Least Common Multiple of 97600 and 97608?

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 97600 and 97608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97600 and 97608, than apply into the LCM equation.

GCF(97600,97608) = 8
LCM(97600,97608) = ( 97600 × 97608) / 8
LCM(97600,97608) = 9526540800 / 8
LCM(97600,97608) = 1190817600

Least Common Multiple (LCM) of 97600 and 97608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97600 and 97608. First we will calculate the prime factors of 97600 and 97608.

Prime Factorization of 97600

Prime Factorization of 97608

Now multiplying the highest exponent prime factors to calculate the LCM of 97600 and 97608.

LCM(97600,97608) = 2⁶ × 5² × 61¹ × 3¹ × 7² × 83¹
LCM(97600,97608) = 1190817600