What is the Least Common Multiple of 36057 and 36067?

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 36057 and 36067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36057 and 36067, than apply into the LCM equation.

GCF(36057,36067) = 1
LCM(36057,36067) = ( 36057 × 36067) / 1
LCM(36057,36067) = 1300467819 / 1
LCM(36057,36067) = 1300467819

Least Common Multiple (LCM) of 36057 and 36067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36057 and 36067. First we will calculate the prime factors of 36057 and 36067.

Prime Factorization of 36057

Prime Factorization of 36067

Now multiplying the highest exponent prime factors to calculate the LCM of 36057 and 36067.

LCM(36057,36067) = 3¹ × 7¹ × 17¹ × 101¹ × 36067¹
LCM(36057,36067) = 1300467819