What is the Least Common Multiple of 61458 and 61474?

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 61474 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 61474, than apply into the LCM equation.

GCF(61458,61474) = 2
LCM(61458,61474) = ( 61458 × 61474) / 2
LCM(61458,61474) = 3778069092 / 2
LCM(61458,61474) = 1889034546

Least Common Multiple (LCM) of 61458 and 61474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61458 and 61474. First we will calculate the prime factors of 61458 and 61474.

Prime Factorization of 61458

Prime Factorization of 61474

Now multiplying the highest exponent prime factors to calculate the LCM of 61458 and 61474.

LCM(61458,61474) = 2¹ × 3¹ × 10243¹ × 7¹ × 4391¹
LCM(61458,61474) = 1889034546