What is the Least Common Multiple of 42060 and 42078?

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 42078 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 42078, than apply into the LCM equation.

GCF(42060,42078) = 6
LCM(42060,42078) = ( 42060 × 42078) / 6
LCM(42060,42078) = 1769800680 / 6
LCM(42060,42078) = 294966780

Least Common Multiple (LCM) of 42060 and 42078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42060 and 42078. First we will calculate the prime factors of 42060 and 42078.

Prime Factorization of 42060

Prime Factorization of 42078

Now multiplying the highest exponent prime factors to calculate the LCM of 42060 and 42078.

LCM(42060,42078) = 2² × 3¹ × 5¹ × 701¹ × 7013¹
LCM(42060,42078) = 294966780