What is the Least Common Multiple of 75920 and 75938?

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 75920 and 75938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75920 and 75938, than apply into the LCM equation.

GCF(75920,75938) = 2
LCM(75920,75938) = ( 75920 × 75938) / 2
LCM(75920,75938) = 5765212960 / 2
LCM(75920,75938) = 2882606480

Least Common Multiple (LCM) of 75920 and 75938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75920 and 75938. First we will calculate the prime factors of 75920 and 75938.

Prime Factorization of 75920

Prime Factorization of 75938

Now multiplying the highest exponent prime factors to calculate the LCM of 75920 and 75938.

LCM(75920,75938) = 2⁴ × 5¹ × 13¹ × 73¹ × 43¹ × 883¹
LCM(75920,75938) = 2882606480