What is the Least Common Multiple of 97814 and 97824?

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 97814 and 97824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97814 and 97824, than apply into the LCM equation.

GCF(97814,97824) = 2
LCM(97814,97824) = ( 97814 × 97824) / 2
LCM(97814,97824) = 9568556736 / 2
LCM(97814,97824) = 4784278368

Least Common Multiple (LCM) of 97814 and 97824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97814 and 97824. First we will calculate the prime factors of 97814 and 97824.

Prime Factorization of 97814

Prime Factorization of 97824

Now multiplying the highest exponent prime factors to calculate the LCM of 97814 and 97824.

LCM(97814,97824) = 2⁵ × 48907¹ × 3¹ × 1019¹
LCM(97814,97824) = 4784278368