What is the Least Common Multiple of 77623 and 77639?

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 77623 and 77639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77623 and 77639, than apply into the LCM equation.

GCF(77623,77639) = 1
LCM(77623,77639) = ( 77623 × 77639) / 1
LCM(77623,77639) = 6026572097 / 1
LCM(77623,77639) = 6026572097

Least Common Multiple (LCM) of 77623 and 77639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77623 and 77639. First we will calculate the prime factors of 77623 and 77639.

Prime Factorization of 77623

Prime Factorization of 77639

Now multiplying the highest exponent prime factors to calculate the LCM of 77623 and 77639.

LCM(77623,77639) = 7¹ × 13¹ × 853¹ × 17¹ × 4567¹
LCM(77623,77639) = 6026572097