What is the Least Common Multiple of 65045 and 65059?

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 65045 and 65059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65045 and 65059, than apply into the LCM equation.

GCF(65045,65059) = 1
LCM(65045,65059) = ( 65045 × 65059) / 1
LCM(65045,65059) = 4231762655 / 1
LCM(65045,65059) = 4231762655

Least Common Multiple (LCM) of 65045 and 65059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65045 and 65059. First we will calculate the prime factors of 65045 and 65059.

Prime Factorization of 65045

Prime Factorization of 65059

Now multiplying the highest exponent prime factors to calculate the LCM of 65045 and 65059.

LCM(65045,65059) = 5¹ × 13009¹ × 17¹ × 43¹ × 89¹
LCM(65045,65059) = 4231762655