What is the Least Common Multiple of 77506 and 77526?

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 77506 and 77526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77506 and 77526, than apply into the LCM equation.

GCF(77506,77526) = 2
LCM(77506,77526) = ( 77506 × 77526) / 2
LCM(77506,77526) = 6008730156 / 2
LCM(77506,77526) = 3004365078

Least Common Multiple (LCM) of 77506 and 77526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77506 and 77526. First we will calculate the prime factors of 77506 and 77526.

Prime Factorization of 77506

Prime Factorization of 77526

Now multiplying the highest exponent prime factors to calculate the LCM of 77506 and 77526.

LCM(77506,77526) = 2¹ × 11¹ × 13¹ × 271¹ × 3² × 59¹ × 73¹
LCM(77506,77526) = 3004365078