What is the Least Common Multiple of 45030 and 45049?

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 45030 and 45049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45030 and 45049, than apply into the LCM equation.

GCF(45030,45049) = 19
LCM(45030,45049) = ( 45030 × 45049) / 19
LCM(45030,45049) = 2028556470 / 19
LCM(45030,45049) = 106766130

Least Common Multiple (LCM) of 45030 and 45049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45030 and 45049. First we will calculate the prime factors of 45030 and 45049.

Prime Factorization of 45030

Prime Factorization of 45049

Now multiplying the highest exponent prime factors to calculate the LCM of 45030 and 45049.

LCM(45030,45049) = 2¹ × 3¹ × 5¹ × 19¹ × 79¹ × 2371¹
LCM(45030,45049) = 106766130