What is the Least Common Multiple of 77623 and 77636?

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 77636 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 77636, than apply into the LCM equation.

GCF(77623,77636) = 13
LCM(77623,77636) = ( 77623 × 77636) / 13
LCM(77623,77636) = 6026339228 / 13
LCM(77623,77636) = 463564556

Least Common Multiple (LCM) of 77623 and 77636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77623 and 77636. First we will calculate the prime factors of 77623 and 77636.

Prime Factorization of 77623

Prime Factorization of 77636

Now multiplying the highest exponent prime factors to calculate the LCM of 77623 and 77636.

LCM(77623,77636) = 7¹ × 13¹ × 853¹ × 2² × 1493¹
LCM(77623,77636) = 463564556