What is the Least Common Multiple of 81952 and 81962?

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 81952 and 81962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81952 and 81962, than apply into the LCM equation.

GCF(81952,81962) = 2
LCM(81952,81962) = ( 81952 × 81962) / 2
LCM(81952,81962) = 6716949824 / 2
LCM(81952,81962) = 3358474912

Least Common Multiple (LCM) of 81952 and 81962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81952 and 81962. First we will calculate the prime factors of 81952 and 81962.

Prime Factorization of 81952

Prime Factorization of 81962

Now multiplying the highest exponent prime factors to calculate the LCM of 81952 and 81962.

LCM(81952,81962) = 2⁵ × 13¹ × 197¹ × 107¹ × 383¹
LCM(81952,81962) = 3358474912