What is the Least Common Multiple of 45820 and 45839?

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 45820 and 45839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45820 and 45839, than apply into the LCM equation.

GCF(45820,45839) = 1
LCM(45820,45839) = ( 45820 × 45839) / 1
LCM(45820,45839) = 2100342980 / 1
LCM(45820,45839) = 2100342980

Least Common Multiple (LCM) of 45820 and 45839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45820 and 45839. First we will calculate the prime factors of 45820 and 45839.

Prime Factorization of 45820

Prime Factorization of 45839

Now multiplying the highest exponent prime factors to calculate the LCM of 45820 and 45839.

LCM(45820,45839) = 2² × 5¹ × 29¹ × 79¹ × 23¹ × 1993¹
LCM(45820,45839) = 2100342980