What is the Least Common Multiple of 53240 and 53251?

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 53240 and 53251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53240 and 53251, than apply into the LCM equation.

GCF(53240,53251) = 11
LCM(53240,53251) = ( 53240 × 53251) / 11
LCM(53240,53251) = 2835083240 / 11
LCM(53240,53251) = 257734840

Least Common Multiple (LCM) of 53240 and 53251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53240 and 53251. First we will calculate the prime factors of 53240 and 53251.

Prime Factorization of 53240

Prime Factorization of 53251

Now multiplying the highest exponent prime factors to calculate the LCM of 53240 and 53251.

LCM(53240,53251) = 2³ × 5¹ × 11³ × 47¹ × 103¹
LCM(53240,53251) = 257734840