What is the Least Common Multiple of 91084 and 91094?

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 91084 and 91094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91084 and 91094, than apply into the LCM equation.

GCF(91084,91094) = 2
LCM(91084,91094) = ( 91084 × 91094) / 2
LCM(91084,91094) = 8297205896 / 2
LCM(91084,91094) = 4148602948

Least Common Multiple (LCM) of 91084 and 91094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91084 and 91094. First we will calculate the prime factors of 91084 and 91094.

Prime Factorization of 91084

Prime Factorization of 91094

Now multiplying the highest exponent prime factors to calculate the LCM of 91084 and 91094.

LCM(91084,91094) = 2² × 7¹ × 3253¹ × 37¹ × 1231¹
LCM(91084,91094) = 4148602948