What is the Least Common Multiple of 61565 and 61577?

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 61565 and 61577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61565 and 61577, than apply into the LCM equation.

GCF(61565,61577) = 1
LCM(61565,61577) = ( 61565 × 61577) / 1
LCM(61565,61577) = 3790988005 / 1
LCM(61565,61577) = 3790988005

Least Common Multiple (LCM) of 61565 and 61577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61565 and 61577. First we will calculate the prime factors of 61565 and 61577.

Prime Factorization of 61565

Prime Factorization of 61577

Now multiplying the highest exponent prime factors to calculate the LCM of 61565 and 61577.

LCM(61565,61577) = 5¹ × 7¹ × 1759¹ × 139¹ × 443¹
LCM(61565,61577) = 3790988005