What is the Least Common Multiple of 49560 and 49574?

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 49560 and 49574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49560 and 49574, than apply into the LCM equation.

GCF(49560,49574) = 14
LCM(49560,49574) = ( 49560 × 49574) / 14
LCM(49560,49574) = 2456887440 / 14
LCM(49560,49574) = 175491960

Least Common Multiple (LCM) of 49560 and 49574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49560 and 49574. First we will calculate the prime factors of 49560 and 49574.

Prime Factorization of 49560

Prime Factorization of 49574

Now multiplying the highest exponent prime factors to calculate the LCM of 49560 and 49574.

LCM(49560,49574) = 2³ × 3¹ × 5¹ × 7¹ × 59¹ × 3541¹
LCM(49560,49574) = 175491960