What is the Least Common Multiple of 87192 and 87196?

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 87192 and 87196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87192 and 87196, than apply into the LCM equation.

GCF(87192,87196) = 4
LCM(87192,87196) = ( 87192 × 87196) / 4
LCM(87192,87196) = 7602793632 / 4
LCM(87192,87196) = 1900698408

Least Common Multiple (LCM) of 87192 and 87196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87192 and 87196. First we will calculate the prime factors of 87192 and 87196.

Prime Factorization of 87192

Prime Factorization of 87196

Now multiplying the highest exponent prime factors to calculate the LCM of 87192 and 87196.

LCM(87192,87196) = 2³ × 3² × 7¹ × 173¹ × 21799¹
LCM(87192,87196) = 1900698408