What is the Least Common Multiple of 87196 and 87212?

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 87196 and 87212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87196 and 87212, than apply into the LCM equation.

GCF(87196,87212) = 4
LCM(87196,87212) = ( 87196 × 87212) / 4
LCM(87196,87212) = 7604537552 / 4
LCM(87196,87212) = 1901134388

Least Common Multiple (LCM) of 87196 and 87212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87196 and 87212. First we will calculate the prime factors of 87196 and 87212.

Prime Factorization of 87196

Prime Factorization of 87212

Now multiplying the highest exponent prime factors to calculate the LCM of 87196 and 87212.

LCM(87196,87212) = 2² × 21799¹ × 21803¹
LCM(87196,87212) = 1901134388