What is the Least Common Multiple of 62345 and 62363?

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 62345 and 62363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62345 and 62363, than apply into the LCM equation.

GCF(62345,62363) = 1
LCM(62345,62363) = ( 62345 × 62363) / 1
LCM(62345,62363) = 3888021235 / 1
LCM(62345,62363) = 3888021235

Least Common Multiple (LCM) of 62345 and 62363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62345 and 62363. First we will calculate the prime factors of 62345 and 62363.

Prime Factorization of 62345

Prime Factorization of 62363

Now multiplying the highest exponent prime factors to calculate the LCM of 62345 and 62363.

LCM(62345,62363) = 5¹ × 37¹ × 337¹ × 7¹ × 59¹ × 151¹
LCM(62345,62363) = 3888021235