What is the Least Common Multiple of 43053 and 43059?

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 43053 and 43059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43053 and 43059, than apply into the LCM equation.

GCF(43053,43059) = 3
LCM(43053,43059) = ( 43053 × 43059) / 3
LCM(43053,43059) = 1853819127 / 3
LCM(43053,43059) = 617939709

Least Common Multiple (LCM) of 43053 and 43059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43053 and 43059. First we will calculate the prime factors of 43053 and 43059.

Prime Factorization of 43053

Prime Factorization of 43059

Now multiplying the highest exponent prime factors to calculate the LCM of 43053 and 43059.

LCM(43053,43059) = 3¹ × 113¹ × 127¹ × 31¹ × 463¹
LCM(43053,43059) = 617939709