What is the Least Common Multiple of 97496 and 97516?

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 97496 and 97516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97496 and 97516, than apply into the LCM equation.

GCF(97496,97516) = 4
LCM(97496,97516) = ( 97496 × 97516) / 4
LCM(97496,97516) = 9507419936 / 4
LCM(97496,97516) = 2376854984

Least Common Multiple (LCM) of 97496 and 97516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97496 and 97516. First we will calculate the prime factors of 97496 and 97516.

Prime Factorization of 97496

Prime Factorization of 97516

Now multiplying the highest exponent prime factors to calculate the LCM of 97496 and 97516.

LCM(97496,97516) = 2³ × 7¹ × 1741¹ × 24379¹
LCM(97496,97516) = 2376854984