What is the Least Common Multiple of 77644 and 77662?

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 77644 and 77662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77644 and 77662, than apply into the LCM equation.

GCF(77644,77662) = 2
LCM(77644,77662) = ( 77644 × 77662) / 2
LCM(77644,77662) = 6029988328 / 2
LCM(77644,77662) = 3014994164

Least Common Multiple (LCM) of 77644 and 77662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77644 and 77662. First we will calculate the prime factors of 77644 and 77662.

Prime Factorization of 77644

Prime Factorization of 77662

Now multiplying the highest exponent prime factors to calculate the LCM of 77644 and 77662.

LCM(77644,77662) = 2² × 7¹ × 47¹ × 59¹ × 13¹ × 29¹ × 103¹
LCM(77644,77662) = 3014994164