What is the Least Common Multiple of 77637 and 77644?

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 77637 and 77644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77637 and 77644, than apply into the LCM equation.

GCF(77637,77644) = 7
LCM(77637,77644) = ( 77637 × 77644) / 7
LCM(77637,77644) = 6028047228 / 7
LCM(77637,77644) = 861149604

Least Common Multiple (LCM) of 77637 and 77644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77637 and 77644. First we will calculate the prime factors of 77637 and 77644.

Prime Factorization of 77637

Prime Factorization of 77644

Now multiplying the highest exponent prime factors to calculate the LCM of 77637 and 77644.

LCM(77637,77644) = 3¹ × 7¹ × 3697¹ × 2² × 47¹ × 59¹
LCM(77637,77644) = 861149604