What is the Least Common Multiple of 45049 and 45068?

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 45049 and 45068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45049 and 45068, than apply into the LCM equation.

GCF(45049,45068) = 19
LCM(45049,45068) = ( 45049 × 45068) / 19
LCM(45049,45068) = 2030268332 / 19
LCM(45049,45068) = 106856228

Least Common Multiple (LCM) of 45049 and 45068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45049 and 45068. First we will calculate the prime factors of 45049 and 45068.

Prime Factorization of 45049

Prime Factorization of 45068

Now multiplying the highest exponent prime factors to calculate the LCM of 45049 and 45068.

LCM(45049,45068) = 19¹ × 2371¹ × 2² × 593¹
LCM(45049,45068) = 106856228