What is the Least Common Multiple of 61064 and 61077?

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 61077 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 61077, than apply into the LCM equation.

GCF(61064,61077) = 1
LCM(61064,61077) = ( 61064 × 61077) / 1
LCM(61064,61077) = 3729605928 / 1
LCM(61064,61077) = 3729605928

Least Common Multiple (LCM) of 61064 and 61077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61064 and 61077. First we will calculate the prime factors of 61064 and 61077.

Prime Factorization of 61064

Prime Factorization of 61077

Now multiplying the highest exponent prime factors to calculate the LCM of 61064 and 61077.

LCM(61064,61077) = 2³ × 17¹ × 449¹ × 3¹ × 20359¹
LCM(61064,61077) = 3729605928