What is the Least Common Multiple of 42968 and 42979?

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 42968 and 42979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42968 and 42979, than apply into the LCM equation.

GCF(42968,42979) = 1
LCM(42968,42979) = ( 42968 × 42979) / 1
LCM(42968,42979) = 1846721672 / 1
LCM(42968,42979) = 1846721672

Least Common Multiple (LCM) of 42968 and 42979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42968 and 42979. First we will calculate the prime factors of 42968 and 42979.

Prime Factorization of 42968

Prime Factorization of 42979

Now multiplying the highest exponent prime factors to calculate the LCM of 42968 and 42979.

LCM(42968,42979) = 2³ × 41¹ × 131¹ × 42979¹
LCM(42968,42979) = 1846721672