What is the Least Common Multiple of 65360 and 65374?

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 65360 and 65374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65360 and 65374, than apply into the LCM equation.

GCF(65360,65374) = 2
LCM(65360,65374) = ( 65360 × 65374) / 2
LCM(65360,65374) = 4272844640 / 2
LCM(65360,65374) = 2136422320

Least Common Multiple (LCM) of 65360 and 65374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65360 and 65374. First we will calculate the prime factors of 65360 and 65374.

Prime Factorization of 65360

Prime Factorization of 65374

Now multiplying the highest exponent prime factors to calculate the LCM of 65360 and 65374.

LCM(65360,65374) = 2⁴ × 5¹ × 19¹ × 43¹ × 32687¹
LCM(65360,65374) = 2136422320