What is the Least Common Multiple of 85776 and 85780?

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 85776 and 85780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85776 and 85780, than apply into the LCM equation.

GCF(85776,85780) = 4
LCM(85776,85780) = ( 85776 × 85780) / 4
LCM(85776,85780) = 7357865280 / 4
LCM(85776,85780) = 1839466320

Least Common Multiple (LCM) of 85776 and 85780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85776 and 85780. First we will calculate the prime factors of 85776 and 85780.

Prime Factorization of 85776

Prime Factorization of 85780

Now multiplying the highest exponent prime factors to calculate the LCM of 85776 and 85780.

LCM(85776,85780) = 2⁴ × 3¹ × 1787¹ × 5¹ × 4289¹
LCM(85776,85780) = 1839466320