What is the Least Common Multiple of 61605 and 61624?

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 61605 and 61624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61605 and 61624, than apply into the LCM equation.

GCF(61605,61624) = 1
LCM(61605,61624) = ( 61605 × 61624) / 1
LCM(61605,61624) = 3796346520 / 1
LCM(61605,61624) = 3796346520

Least Common Multiple (LCM) of 61605 and 61624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61605 and 61624. First we will calculate the prime factors of 61605 and 61624.

Prime Factorization of 61605

Prime Factorization of 61624

Now multiplying the highest exponent prime factors to calculate the LCM of 61605 and 61624.

LCM(61605,61624) = 3² × 5¹ × 37² × 2³ × 7703¹
LCM(61605,61624) = 3796346520