What is the Least Common Multiple of 97600 and 97619?

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 97619 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 97619, than apply into the LCM equation.

GCF(97600,97619) = 1
LCM(97600,97619) = ( 97600 × 97619) / 1
LCM(97600,97619) = 9527614400 / 1
LCM(97600,97619) = 9527614400

Least Common Multiple (LCM) of 97600 and 97619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97600 and 97619. First we will calculate the prime factors of 97600 and 97619.

Prime Factorization of 97600

Prime Factorization of 97619

Now multiplying the highest exponent prime factors to calculate the LCM of 97600 and 97619.

LCM(97600,97619) = 2⁶ × 5² × 61¹ × 31¹ × 47¹ × 67¹
LCM(97600,97619) = 9527614400