What is the Least Common Multiple of 42954 and 42968?

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 42954 and 42968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42954 and 42968, than apply into the LCM equation.

GCF(42954,42968) = 2
LCM(42954,42968) = ( 42954 × 42968) / 2
LCM(42954,42968) = 1845647472 / 2
LCM(42954,42968) = 922823736

Least Common Multiple (LCM) of 42954 and 42968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42954 and 42968. First we will calculate the prime factors of 42954 and 42968.

Prime Factorization of 42954

Prime Factorization of 42968

Now multiplying the highest exponent prime factors to calculate the LCM of 42954 and 42968.

LCM(42954,42968) = 2³ × 3¹ × 7159¹ × 41¹ × 131¹
LCM(42954,42968) = 922823736