What is the Least Common Multiple of 81772 and 81780?

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 81772 and 81780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81772 and 81780, than apply into the LCM equation.

GCF(81772,81780) = 4
LCM(81772,81780) = ( 81772 × 81780) / 4
LCM(81772,81780) = 6687314160 / 4
LCM(81772,81780) = 1671828540

Least Common Multiple (LCM) of 81772 and 81780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81772 and 81780. First we will calculate the prime factors of 81772 and 81780.

Prime Factorization of 81772

Prime Factorization of 81780

Now multiplying the highest exponent prime factors to calculate the LCM of 81772 and 81780.

LCM(81772,81780) = 2² × 20443¹ × 3¹ × 5¹ × 29¹ × 47¹
LCM(81772,81780) = 1671828540