What is the Least Common Multiple of 42060 and 42068?

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 42060 and 42068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42060 and 42068, than apply into the LCM equation.

GCF(42060,42068) = 4
LCM(42060,42068) = ( 42060 × 42068) / 4
LCM(42060,42068) = 1769380080 / 4
LCM(42060,42068) = 442345020

Least Common Multiple (LCM) of 42060 and 42068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42060 and 42068. First we will calculate the prime factors of 42060 and 42068.

Prime Factorization of 42060

Prime Factorization of 42068

Now multiplying the highest exponent prime factors to calculate the LCM of 42060 and 42068.

LCM(42060,42068) = 2² × 3¹ × 5¹ × 701¹ × 13¹ × 809¹
LCM(42060,42068) = 442345020