What is the Least Common Multiple of 97824 and 97834?

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 97824 and 97834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97824 and 97834, than apply into the LCM equation.

GCF(97824,97834) = 2
LCM(97824,97834) = ( 97824 × 97834) / 2
LCM(97824,97834) = 9570513216 / 2
LCM(97824,97834) = 4785256608

Least Common Multiple (LCM) of 97824 and 97834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97824 and 97834. First we will calculate the prime factors of 97824 and 97834.

Prime Factorization of 97824

Prime Factorization of 97834

Now multiplying the highest exponent prime factors to calculate the LCM of 97824 and 97834.

LCM(97824,97834) = 2⁵ × 3¹ × 1019¹ × 11¹ × 4447¹
LCM(97824,97834) = 4785256608