What is the Least Common Multiple of 43757 and 43776?

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 43757 and 43776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43757 and 43776, than apply into the LCM equation.

GCF(43757,43776) = 19
LCM(43757,43776) = ( 43757 × 43776) / 19
LCM(43757,43776) = 1915506432 / 19
LCM(43757,43776) = 100816128

Least Common Multiple (LCM) of 43757 and 43776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43757 and 43776. First we will calculate the prime factors of 43757 and 43776.

Prime Factorization of 43757

Prime Factorization of 43776

Now multiplying the highest exponent prime factors to calculate the LCM of 43757 and 43776.

LCM(43757,43776) = 7² × 19¹ × 47¹ × 2⁸ × 3²
LCM(43757,43776) = 100816128