What is the Least Common Multiple of 47960 and 47974?

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 47960 and 47974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47960 and 47974, than apply into the LCM equation.

GCF(47960,47974) = 2
LCM(47960,47974) = ( 47960 × 47974) / 2
LCM(47960,47974) = 2300833040 / 2
LCM(47960,47974) = 1150416520

Least Common Multiple (LCM) of 47960 and 47974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47960 and 47974. First we will calculate the prime factors of 47960 and 47974.

Prime Factorization of 47960

Prime Factorization of 47974

Now multiplying the highest exponent prime factors to calculate the LCM of 47960 and 47974.

LCM(47960,47974) = 2³ × 5¹ × 11¹ × 109¹ × 17² × 83¹
LCM(47960,47974) = 1150416520