What is the Least Common Multiple of 97816 and 97820?

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 97816 and 97820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97816 and 97820, than apply into the LCM equation.

GCF(97816,97820) = 4
LCM(97816,97820) = ( 97816 × 97820) / 4
LCM(97816,97820) = 9568361120 / 4
LCM(97816,97820) = 2392090280

Least Common Multiple (LCM) of 97816 and 97820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97816 and 97820. First we will calculate the prime factors of 97816 and 97820.

Prime Factorization of 97816

Prime Factorization of 97820

Now multiplying the highest exponent prime factors to calculate the LCM of 97816 and 97820.

LCM(97816,97820) = 2³ × 12227¹ × 5¹ × 67¹ × 73¹
LCM(97816,97820) = 2392090280