What is the Least Common Multiple of 77522 and 77534?

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 77522 and 77534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77522 and 77534, than apply into the LCM equation.

GCF(77522,77534) = 2
LCM(77522,77534) = ( 77522 × 77534) / 2
LCM(77522,77534) = 6010590748 / 2
LCM(77522,77534) = 3005295374

Least Common Multiple (LCM) of 77522 and 77534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77522 and 77534. First we will calculate the prime factors of 77522 and 77534.

Prime Factorization of 77522

Prime Factorization of 77534

Now multiplying the highest exponent prime factors to calculate the LCM of 77522 and 77534.

LCM(77522,77534) = 2¹ × 83¹ × 467¹ × 38767¹
LCM(77522,77534) = 3005295374