What is the Least Common Multiple of 36965 and 36970?

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 36965 and 36970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36965 and 36970, than apply into the LCM equation.

GCF(36965,36970) = 5
LCM(36965,36970) = ( 36965 × 36970) / 5
LCM(36965,36970) = 1366596050 / 5
LCM(36965,36970) = 273319210

Least Common Multiple (LCM) of 36965 and 36970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36965 and 36970. First we will calculate the prime factors of 36965 and 36970.

Prime Factorization of 36965

Prime Factorization of 36970

Now multiplying the highest exponent prime factors to calculate the LCM of 36965 and 36970.

LCM(36965,36970) = 5¹ × 7393¹ × 2¹ × 3697¹
LCM(36965,36970) = 273319210