What is the Least Common Multiple of 77219 and 77237?

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 77219 and 77237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77219 and 77237, than apply into the LCM equation.

GCF(77219,77237) = 1
LCM(77219,77237) = ( 77219 × 77237) / 1
LCM(77219,77237) = 5964163903 / 1
LCM(77219,77237) = 5964163903

Least Common Multiple (LCM) of 77219 and 77237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77219 and 77237. First we will calculate the prime factors of 77219 and 77237.

Prime Factorization of 77219

Prime Factorization of 77237

Now multiplying the highest exponent prime factors to calculate the LCM of 77219 and 77237.

LCM(77219,77237) = 37¹ × 2087¹ × 77237¹
LCM(77219,77237) = 5964163903