What is the Least Common Multiple of 62671 and 62689?

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 62671 and 62689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62671 and 62689, than apply into the LCM equation.

GCF(62671,62689) = 1
LCM(62671,62689) = ( 62671 × 62689) / 1
LCM(62671,62689) = 3928782319 / 1
LCM(62671,62689) = 3928782319

Least Common Multiple (LCM) of 62671 and 62689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62671 and 62689. First we will calculate the prime factors of 62671 and 62689.

Prime Factorization of 62671

Prime Factorization of 62689

Now multiplying the highest exponent prime factors to calculate the LCM of 62671 and 62689.

LCM(62671,62689) = 7² × 1279¹ × 11¹ × 41¹ × 139¹
LCM(62671,62689) = 3928782319