What is the Least Common Multiple of 62174 and 62192?

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 62174 and 62192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62174 and 62192, than apply into the LCM equation.

GCF(62174,62192) = 2
LCM(62174,62192) = ( 62174 × 62192) / 2
LCM(62174,62192) = 3866725408 / 2
LCM(62174,62192) = 1933362704

Least Common Multiple (LCM) of 62174 and 62192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62174 and 62192. First we will calculate the prime factors of 62174 and 62192.

Prime Factorization of 62174

Prime Factorization of 62192

Now multiplying the highest exponent prime factors to calculate the LCM of 62174 and 62192.

LCM(62174,62192) = 2⁴ × 7¹ × 4441¹ × 13² × 23¹
LCM(62174,62192) = 1933362704