What is the Least Common Multiple of 45094 and 45101?

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 45094 and 45101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45094 and 45101, than apply into the LCM equation.

GCF(45094,45101) = 7
LCM(45094,45101) = ( 45094 × 45101) / 7
LCM(45094,45101) = 2033784494 / 7
LCM(45094,45101) = 290540642

Least Common Multiple (LCM) of 45094 and 45101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45094 and 45101. First we will calculate the prime factors of 45094 and 45101.

Prime Factorization of 45094

Prime Factorization of 45101

Now multiplying the highest exponent prime factors to calculate the LCM of 45094 and 45101.

LCM(45094,45101) = 2¹ × 7¹ × 3221¹ × 17¹ × 379¹
LCM(45094,45101) = 290540642