What is the Least Common Multiple of 36658 and 36670?

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 36658 and 36670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36658 and 36670, than apply into the LCM equation.

GCF(36658,36670) = 2
LCM(36658,36670) = ( 36658 × 36670) / 2
LCM(36658,36670) = 1344248860 / 2
LCM(36658,36670) = 672124430

Least Common Multiple (LCM) of 36658 and 36670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36658 and 36670. First we will calculate the prime factors of 36658 and 36670.

Prime Factorization of 36658

Prime Factorization of 36670

Now multiplying the highest exponent prime factors to calculate the LCM of 36658 and 36670.

LCM(36658,36670) = 2¹ × 18329¹ × 5¹ × 19¹ × 193¹
LCM(36658,36670) = 672124430