What is the Least Common Multiple of 77550 and 77567?

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 77550 and 77567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77550 and 77567, than apply into the LCM equation.

GCF(77550,77567) = 1
LCM(77550,77567) = ( 77550 × 77567) / 1
LCM(77550,77567) = 6015320850 / 1
LCM(77550,77567) = 6015320850

Least Common Multiple (LCM) of 77550 and 77567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77550 and 77567. First we will calculate the prime factors of 77550 and 77567.

Prime Factorization of 77550

Prime Factorization of 77567

Now multiplying the highest exponent prime factors to calculate the LCM of 77550 and 77567.

LCM(77550,77567) = 2¹ × 3¹ × 5² × 11¹ × 47¹ × 7² × 1583¹
LCM(77550,77567) = 6015320850