What is the Least Common Multiple of 61540 and 61557?

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 61540 and 61557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61540 and 61557, than apply into the LCM equation.

GCF(61540,61557) = 17
LCM(61540,61557) = ( 61540 × 61557) / 17
LCM(61540,61557) = 3788217780 / 17
LCM(61540,61557) = 222836340

Least Common Multiple (LCM) of 61540 and 61557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61540 and 61557. First we will calculate the prime factors of 61540 and 61557.

Prime Factorization of 61540

Prime Factorization of 61557

Now multiplying the highest exponent prime factors to calculate the LCM of 61540 and 61557.

LCM(61540,61557) = 2² × 5¹ × 17² × 181¹ × 3¹ × 71¹
LCM(61540,61557) = 222836340