What is the Least Common Multiple of 61064 and 61082?

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 61064 and 61082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61064 and 61082, than apply into the LCM equation.

GCF(61064,61082) = 2
LCM(61064,61082) = ( 61064 × 61082) / 2
LCM(61064,61082) = 3729911248 / 2
LCM(61064,61082) = 1864955624

Least Common Multiple (LCM) of 61064 and 61082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61064 and 61082. First we will calculate the prime factors of 61064 and 61082.

Prime Factorization of 61064

Prime Factorization of 61082

Now multiplying the highest exponent prime factors to calculate the LCM of 61064 and 61082.

LCM(61064,61082) = 2³ × 17¹ × 449¹ × 7¹ × 4363¹
LCM(61064,61082) = 1864955624