What is the Least Common Multiple of 62123 and 62131?

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 62123 and 62131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62123 and 62131, than apply into the LCM equation.

GCF(62123,62131) = 1
LCM(62123,62131) = ( 62123 × 62131) / 1
LCM(62123,62131) = 3859764113 / 1
LCM(62123,62131) = 3859764113

Least Common Multiple (LCM) of 62123 and 62131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62123 and 62131. First we will calculate the prime factors of 62123 and 62131.

Prime Factorization of 62123

Prime Factorization of 62131

Now multiplying the highest exponent prime factors to calculate the LCM of 62123 and 62131.

LCM(62123,62131) = 23¹ × 37¹ × 73¹ × 62131¹
LCM(62123,62131) = 3859764113