What is the Least Common Multiple of 79140 and 79156?

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 79140 and 79156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79140 and 79156, than apply into the LCM equation.

GCF(79140,79156) = 4
LCM(79140,79156) = ( 79140 × 79156) / 4
LCM(79140,79156) = 6264405840 / 4
LCM(79140,79156) = 1566101460

Least Common Multiple (LCM) of 79140 and 79156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79140 and 79156. First we will calculate the prime factors of 79140 and 79156.

Prime Factorization of 79140

Prime Factorization of 79156

Now multiplying the highest exponent prime factors to calculate the LCM of 79140 and 79156.

LCM(79140,79156) = 2² × 3¹ × 5¹ × 1319¹ × 7¹ × 11¹ × 257¹
LCM(79140,79156) = 1566101460