What is the Least Common Multiple of 74920 and 74938?

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 74920 and 74938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74920 and 74938, than apply into the LCM equation.

GCF(74920,74938) = 2
LCM(74920,74938) = ( 74920 × 74938) / 2
LCM(74920,74938) = 5614354960 / 2
LCM(74920,74938) = 2807177480

Least Common Multiple (LCM) of 74920 and 74938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74920 and 74938. First we will calculate the prime factors of 74920 and 74938.

Prime Factorization of 74920

Prime Factorization of 74938

Now multiplying the highest exponent prime factors to calculate the LCM of 74920 and 74938.

LCM(74920,74938) = 2³ × 5¹ × 1873¹ × 89¹ × 421¹
LCM(74920,74938) = 2807177480