What is the Least Common Multiple of 42657 and 42672?

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 42657 and 42672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42657 and 42672, than apply into the LCM equation.

GCF(42657,42672) = 3
LCM(42657,42672) = ( 42657 × 42672) / 3
LCM(42657,42672) = 1820259504 / 3
LCM(42657,42672) = 606753168

Least Common Multiple (LCM) of 42657 and 42672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42657 and 42672. First we will calculate the prime factors of 42657 and 42672.

Prime Factorization of 42657

Prime Factorization of 42672

Now multiplying the highest exponent prime factors to calculate the LCM of 42657 and 42672.

LCM(42657,42672) = 3¹ × 59¹ × 241¹ × 2⁴ × 7¹ × 127¹
LCM(42657,42672) = 606753168