What is the Least Common Multiple of 42762 and 42780?

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 42762 and 42780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42762 and 42780, than apply into the LCM equation.

GCF(42762,42780) = 6
LCM(42762,42780) = ( 42762 × 42780) / 6
LCM(42762,42780) = 1829358360 / 6
LCM(42762,42780) = 304893060

Least Common Multiple (LCM) of 42762 and 42780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42762 and 42780. First we will calculate the prime factors of 42762 and 42780.

Prime Factorization of 42762

Prime Factorization of 42780

Now multiplying the highest exponent prime factors to calculate the LCM of 42762 and 42780.

LCM(42762,42780) = 2² × 3¹ × 7127¹ × 5¹ × 23¹ × 31¹
LCM(42762,42780) = 304893060