What is the Least Common Multiple of 61435 and 61455?

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 61435 and 61455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61435 and 61455, than apply into the LCM equation.

GCF(61435,61455) = 5
LCM(61435,61455) = ( 61435 × 61455) / 5
LCM(61435,61455) = 3775487925 / 5
LCM(61435,61455) = 755097585

Least Common Multiple (LCM) of 61435 and 61455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61435 and 61455. First we will calculate the prime factors of 61435 and 61455.

Prime Factorization of 61435

Prime Factorization of 61455

Now multiplying the highest exponent prime factors to calculate the LCM of 61435 and 61455.

LCM(61435,61455) = 5¹ × 11¹ × 1117¹ × 3¹ × 17¹ × 241¹
LCM(61435,61455) = 755097585