What is the Least Common Multiple of 61248 and 61263?

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 61248 and 61263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61248 and 61263, than apply into the LCM equation.

GCF(61248,61263) = 3
LCM(61248,61263) = ( 61248 × 61263) / 3
LCM(61248,61263) = 3752236224 / 3
LCM(61248,61263) = 1250745408

Least Common Multiple (LCM) of 61248 and 61263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61248 and 61263. First we will calculate the prime factors of 61248 and 61263.

Prime Factorization of 61248

Prime Factorization of 61263

Now multiplying the highest exponent prime factors to calculate the LCM of 61248 and 61263.

LCM(61248,61263) = 2⁶ × 3³ × 11¹ × 29¹ × 2269¹
LCM(61248,61263) = 1250745408