What is the Least Common Multiple of 51554 and 51574?

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 51554 and 51574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51554 and 51574, than apply into the LCM equation.

GCF(51554,51574) = 2
LCM(51554,51574) = ( 51554 × 51574) / 2
LCM(51554,51574) = 2658845996 / 2
LCM(51554,51574) = 1329422998

Least Common Multiple (LCM) of 51554 and 51574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51554 and 51574. First we will calculate the prime factors of 51554 and 51574.

Prime Factorization of 51554

Prime Factorization of 51574

Now multiplying the highest exponent prime factors to calculate the LCM of 51554 and 51574.

LCM(51554,51574) = 2¹ × 149¹ × 173¹ × 107¹ × 241¹
LCM(51554,51574) = 1329422998