What is the Least Common Multiple of 62749 and 62767?

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 62749 and 62767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62749 and 62767, than apply into the LCM equation.

GCF(62749,62767) = 1
LCM(62749,62767) = ( 62749 × 62767) / 1
LCM(62749,62767) = 3938566483 / 1
LCM(62749,62767) = 3938566483

Least Common Multiple (LCM) of 62749 and 62767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62749 and 62767. First we will calculate the prime factors of 62749 and 62767.

Prime Factorization of 62749

Prime Factorization of 62767

Now multiplying the highest exponent prime factors to calculate the LCM of 62749 and 62767.

LCM(62749,62767) = 131¹ × 479¹ × 23¹ × 2729¹
LCM(62749,62767) = 3938566483