What is the Least Common Multiple of 61535 and 61546?

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 61535 and 61546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61535 and 61546, than apply into the LCM equation.

GCF(61535,61546) = 1
LCM(61535,61546) = ( 61535 × 61546) / 1
LCM(61535,61546) = 3787233110 / 1
LCM(61535,61546) = 3787233110

Least Common Multiple (LCM) of 61535 and 61546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61535 and 61546. First we will calculate the prime factors of 61535 and 61546.

Prime Factorization of 61535

Prime Factorization of 61546

Now multiplying the highest exponent prime factors to calculate the LCM of 61535 and 61546.

LCM(61535,61546) = 5¹ × 31¹ × 397¹ × 2¹ × 30773¹
LCM(61535,61546) = 3787233110