What is the Least Common Multiple of 32077 and 32090?

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 32077 and 32090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32077 and 32090, than apply into the LCM equation.

GCF(32077,32090) = 1
LCM(32077,32090) = ( 32077 × 32090) / 1
LCM(32077,32090) = 1029350930 / 1
LCM(32077,32090) = 1029350930

Least Common Multiple (LCM) of 32077 and 32090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32077 and 32090. First we will calculate the prime factors of 32077 and 32090.

Prime Factorization of 32077

Prime Factorization of 32090

Now multiplying the highest exponent prime factors to calculate the LCM of 32077 and 32090.

LCM(32077,32090) = 32077¹ × 2¹ × 5¹ × 3209¹
LCM(32077,32090) = 1029350930