What is the Least Common Multiple of 64766 and 64778?

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 64766 and 64778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64766 and 64778, than apply into the LCM equation.

GCF(64766,64778) = 2
LCM(64766,64778) = ( 64766 × 64778) / 2
LCM(64766,64778) = 4195411948 / 2
LCM(64766,64778) = 2097705974

Least Common Multiple (LCM) of 64766 and 64778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64766 and 64778. First we will calculate the prime factors of 64766 and 64778.

Prime Factorization of 64766

Prime Factorization of 64778

Now multiplying the highest exponent prime factors to calculate the LCM of 64766 and 64778.

LCM(64766,64778) = 2¹ × 13¹ × 47¹ × 53¹ × 7² × 661¹
LCM(64766,64778) = 2097705974