What is the Least Common Multiple of 35964 and 35970?

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 35964 and 35970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35964 and 35970, than apply into the LCM equation.

GCF(35964,35970) = 6
LCM(35964,35970) = ( 35964 × 35970) / 6
LCM(35964,35970) = 1293625080 / 6
LCM(35964,35970) = 215604180

Least Common Multiple (LCM) of 35964 and 35970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35964 and 35970. First we will calculate the prime factors of 35964 and 35970.

Prime Factorization of 35964

Prime Factorization of 35970

Now multiplying the highest exponent prime factors to calculate the LCM of 35964 and 35970.

LCM(35964,35970) = 2² × 3⁵ × 37¹ × 5¹ × 11¹ × 109¹
LCM(35964,35970) = 215604180