What is the Least Common Multiple of 43776 and 43785?

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 43776 and 43785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43776 and 43785, than apply into the LCM equation.

GCF(43776,43785) = 9
LCM(43776,43785) = ( 43776 × 43785) / 9
LCM(43776,43785) = 1916732160 / 9
LCM(43776,43785) = 212970240

Least Common Multiple (LCM) of 43776 and 43785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43776 and 43785. First we will calculate the prime factors of 43776 and 43785.

Prime Factorization of 43776

Prime Factorization of 43785

Now multiplying the highest exponent prime factors to calculate the LCM of 43776 and 43785.

LCM(43776,43785) = 2⁸ × 3² × 19¹ × 5¹ × 7¹ × 139¹
LCM(43776,43785) = 212970240