What is the Least Common Multiple of 90076 and 90083?

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 90076 and 90083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90076 and 90083, than apply into the LCM equation.

GCF(90076,90083) = 7
LCM(90076,90083) = ( 90076 × 90083) / 7
LCM(90076,90083) = 8114316308 / 7
LCM(90076,90083) = 1159188044

Least Common Multiple (LCM) of 90076 and 90083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90076 and 90083. First we will calculate the prime factors of 90076 and 90083.

Prime Factorization of 90076

Prime Factorization of 90083

Now multiplying the highest exponent prime factors to calculate the LCM of 90076 and 90083.

LCM(90076,90083) = 2² × 7¹ × 3217¹ × 17¹ × 757¹
LCM(90076,90083) = 1159188044