What is the Least Common Multiple of 61519 and 61525?

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 61519 and 61525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61519 and 61525, than apply into the LCM equation.

GCF(61519,61525) = 1
LCM(61519,61525) = ( 61519 × 61525) / 1
LCM(61519,61525) = 3784956475 / 1
LCM(61519,61525) = 3784956475

Least Common Multiple (LCM) of 61519 and 61525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61519 and 61525. First we will calculate the prime factors of 61519 and 61525.

Prime Factorization of 61519

Prime Factorization of 61525

Now multiplying the highest exponent prime factors to calculate the LCM of 61519 and 61525.

LCM(61519,61525) = 61519¹ × 5² × 23¹ × 107¹
LCM(61519,61525) = 3784956475