What is the Least Common Multiple of 42920 and 42938?

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 42920 and 42938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42920 and 42938, than apply into the LCM equation.

GCF(42920,42938) = 2
LCM(42920,42938) = ( 42920 × 42938) / 2
LCM(42920,42938) = 1842898960 / 2
LCM(42920,42938) = 921449480

Least Common Multiple (LCM) of 42920 and 42938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42920 and 42938. First we will calculate the prime factors of 42920 and 42938.

Prime Factorization of 42920

Prime Factorization of 42938

Now multiplying the highest exponent prime factors to calculate the LCM of 42920 and 42938.

LCM(42920,42938) = 2³ × 5¹ × 29¹ × 37¹ × 7¹ × 3067¹
LCM(42920,42938) = 921449480