What is the Least Common Multiple of 77075 and 77090?

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 77075 and 77090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77075 and 77090, than apply into the LCM equation.

GCF(77075,77090) = 5
LCM(77075,77090) = ( 77075 × 77090) / 5
LCM(77075,77090) = 5941711750 / 5
LCM(77075,77090) = 1188342350

Least Common Multiple (LCM) of 77075 and 77090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77075 and 77090. First we will calculate the prime factors of 77075 and 77090.

Prime Factorization of 77075

Prime Factorization of 77090

Now multiplying the highest exponent prime factors to calculate the LCM of 77075 and 77090.

LCM(77075,77090) = 5² × 3083¹ × 2¹ × 13¹ × 593¹
LCM(77075,77090) = 1188342350