What is the Least Common Multiple of 21780 and 21785?

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 21780 and 21785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21780 and 21785, than apply into the LCM equation.

GCF(21780,21785) = 5
LCM(21780,21785) = ( 21780 × 21785) / 5
LCM(21780,21785) = 474477300 / 5
LCM(21780,21785) = 94895460

Least Common Multiple (LCM) of 21780 and 21785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21780 and 21785. First we will calculate the prime factors of 21780 and 21785.

Prime Factorization of 21780

Prime Factorization of 21785

Now multiplying the highest exponent prime factors to calculate the LCM of 21780 and 21785.

LCM(21780,21785) = 2² × 3² × 5¹ × 11² × 4357¹
LCM(21780,21785) = 94895460