What is the Least Common Multiple of 62314 and 62320?

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 62314 and 62320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62314 and 62320, than apply into the LCM equation.

GCF(62314,62320) = 2
LCM(62314,62320) = ( 62314 × 62320) / 2
LCM(62314,62320) = 3883408480 / 2
LCM(62314,62320) = 1941704240

Least Common Multiple (LCM) of 62314 and 62320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62314 and 62320. First we will calculate the prime factors of 62314 and 62320.

Prime Factorization of 62314

Prime Factorization of 62320

Now multiplying the highest exponent prime factors to calculate the LCM of 62314 and 62320.

LCM(62314,62320) = 2⁴ × 7¹ × 4451¹ × 5¹ × 19¹ × 41¹
LCM(62314,62320) = 1941704240