What is the Least Common Multiple of 61233 and 61252?

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 61233 and 61252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61233 and 61252, than apply into the LCM equation.

GCF(61233,61252) = 1
LCM(61233,61252) = ( 61233 × 61252) / 1
LCM(61233,61252) = 3750643716 / 1
LCM(61233,61252) = 3750643716

Least Common Multiple (LCM) of 61233 and 61252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61233 and 61252. First we will calculate the prime factors of 61233 and 61252.

Prime Factorization of 61233

Prime Factorization of 61252

Now multiplying the highest exponent prime factors to calculate the LCM of 61233 and 61252.

LCM(61233,61252) = 3¹ × 20411¹ × 2² × 15313¹
LCM(61233,61252) = 3750643716