What is the Least Common Multiple of 61458 and 61464?

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 61458 and 61464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61458 and 61464, than apply into the LCM equation.

GCF(61458,61464) = 6
LCM(61458,61464) = ( 61458 × 61464) / 6
LCM(61458,61464) = 3777454512 / 6
LCM(61458,61464) = 629575752

Least Common Multiple (LCM) of 61458 and 61464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61458 and 61464. First we will calculate the prime factors of 61458 and 61464.

Prime Factorization of 61458

Prime Factorization of 61464

Now multiplying the highest exponent prime factors to calculate the LCM of 61458 and 61464.

LCM(61458,61464) = 2³ × 3¹ × 10243¹ × 13¹ × 197¹
LCM(61458,61464) = 629575752