What is the Least Common Multiple of 72137 and 72156?

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 72137 and 72156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72137 and 72156, than apply into the LCM equation.

GCF(72137,72156) = 1
LCM(72137,72156) = ( 72137 × 72156) / 1
LCM(72137,72156) = 5205117372 / 1
LCM(72137,72156) = 5205117372

Least Common Multiple (LCM) of 72137 and 72156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72137 and 72156. First we will calculate the prime factors of 72137 and 72156.

Prime Factorization of 72137

Prime Factorization of 72156

Now multiplying the highest exponent prime factors to calculate the LCM of 72137 and 72156.

LCM(72137,72156) = 13¹ × 31¹ × 179¹ × 2² × 3¹ × 7¹ × 859¹
LCM(72137,72156) = 5205117372