What is the Least Common Multiple of 45690 and 45701?

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 45690 and 45701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45690 and 45701, than apply into the LCM equation.

GCF(45690,45701) = 1
LCM(45690,45701) = ( 45690 × 45701) / 1
LCM(45690,45701) = 2088078690 / 1
LCM(45690,45701) = 2088078690

Least Common Multiple (LCM) of 45690 and 45701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45690 and 45701. First we will calculate the prime factors of 45690 and 45701.

Prime Factorization of 45690

Prime Factorization of 45701

Now multiplying the highest exponent prime factors to calculate the LCM of 45690 and 45701.

LCM(45690,45701) = 2¹ × 3¹ × 5¹ × 1523¹ × 23¹ × 1987¹
LCM(45690,45701) = 2088078690