What is the Least Common Multiple of 61905 and 61920?

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 61905 and 61920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61905 and 61920, than apply into the LCM equation.

GCF(61905,61920) = 15
LCM(61905,61920) = ( 61905 × 61920) / 15
LCM(61905,61920) = 3833157600 / 15
LCM(61905,61920) = 255543840

Least Common Multiple (LCM) of 61905 and 61920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61905 and 61920. First we will calculate the prime factors of 61905 and 61920.

Prime Factorization of 61905

Prime Factorization of 61920

Now multiplying the highest exponent prime factors to calculate the LCM of 61905 and 61920.

LCM(61905,61920) = 3² × 5¹ × 4127¹ × 2⁵ × 43¹
LCM(61905,61920) = 255543840