What is the Least Common Multiple of 62140 and 62156?

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 62140 and 62156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62140 and 62156, than apply into the LCM equation.

GCF(62140,62156) = 4
LCM(62140,62156) = ( 62140 × 62156) / 4
LCM(62140,62156) = 3862373840 / 4
LCM(62140,62156) = 965593460

Least Common Multiple (LCM) of 62140 and 62156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62140 and 62156. First we will calculate the prime factors of 62140 and 62156.

Prime Factorization of 62140

Prime Factorization of 62156

Now multiplying the highest exponent prime factors to calculate the LCM of 62140 and 62156.

LCM(62140,62156) = 2² × 5¹ × 13¹ × 239¹ × 41¹ × 379¹
LCM(62140,62156) = 965593460