What is the Least Common Multiple of 53542 and 53561?

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 53542 and 53561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53542 and 53561, than apply into the LCM equation.

GCF(53542,53561) = 19
LCM(53542,53561) = ( 53542 × 53561) / 19
LCM(53542,53561) = 2867763062 / 19
LCM(53542,53561) = 150934898

Least Common Multiple (LCM) of 53542 and 53561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53542 and 53561. First we will calculate the prime factors of 53542 and 53561.

Prime Factorization of 53542

Prime Factorization of 53561

Now multiplying the highest exponent prime factors to calculate the LCM of 53542 and 53561.

LCM(53542,53561) = 2¹ × 19¹ × 1409¹ × 2819¹
LCM(53542,53561) = 150934898