What is the Least Common Multiple of 61440 and 61458?

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 61440 and 61458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61440 and 61458, than apply into the LCM equation.

GCF(61440,61458) = 6
LCM(61440,61458) = ( 61440 × 61458) / 6
LCM(61440,61458) = 3775979520 / 6
LCM(61440,61458) = 629329920

Least Common Multiple (LCM) of 61440 and 61458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61440 and 61458. First we will calculate the prime factors of 61440 and 61458.

Prime Factorization of 61440

Prime Factorization of 61458

Now multiplying the highest exponent prime factors to calculate the LCM of 61440 and 61458.

LCM(61440,61458) = 2¹² × 3¹ × 5¹ × 10243¹
LCM(61440,61458) = 629329920