What is the Least Common Multiple of 53070 and 53076?

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 53070 and 53076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53070 and 53076, than apply into the LCM equation.

GCF(53070,53076) = 6
LCM(53070,53076) = ( 53070 × 53076) / 6
LCM(53070,53076) = 2816743320 / 6
LCM(53070,53076) = 469457220

Least Common Multiple (LCM) of 53070 and 53076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53070 and 53076. First we will calculate the prime factors of 53070 and 53076.

Prime Factorization of 53070

Prime Factorization of 53076

Now multiplying the highest exponent prime factors to calculate the LCM of 53070 and 53076.

LCM(53070,53076) = 2² × 3¹ × 5¹ × 29¹ × 61¹ × 4423¹
LCM(53070,53076) = 469457220