What is the Least Common Multiple of 61455 and 61475?

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 61455 and 61475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61455 and 61475, than apply into the LCM equation.

GCF(61455,61475) = 5
LCM(61455,61475) = ( 61455 × 61475) / 5
LCM(61455,61475) = 3777946125 / 5
LCM(61455,61475) = 755589225

Least Common Multiple (LCM) of 61455 and 61475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61455 and 61475. First we will calculate the prime factors of 61455 and 61475.

Prime Factorization of 61455

Prime Factorization of 61475

Now multiplying the highest exponent prime factors to calculate the LCM of 61455 and 61475.

LCM(61455,61475) = 3¹ × 5² × 17¹ × 241¹ × 2459¹
LCM(61455,61475) = 755589225