What is the Least Common Multiple of 61140 and 61155?

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 61140 and 61155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61140 and 61155, than apply into the LCM equation.

GCF(61140,61155) = 15
LCM(61140,61155) = ( 61140 × 61155) / 15
LCM(61140,61155) = 3739016700 / 15
LCM(61140,61155) = 249267780

Least Common Multiple (LCM) of 61140 and 61155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61140 and 61155. First we will calculate the prime factors of 61140 and 61155.

Prime Factorization of 61140

Prime Factorization of 61155

Now multiplying the highest exponent prime factors to calculate the LCM of 61140 and 61155.

LCM(61140,61155) = 2² × 3⁴ × 5¹ × 1019¹ × 151¹
LCM(61140,61155) = 249267780