What is the Least Common Multiple of 64546 and 64562?

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 64546 and 64562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64546 and 64562, than apply into the LCM equation.

GCF(64546,64562) = 2
LCM(64546,64562) = ( 64546 × 64562) / 2
LCM(64546,64562) = 4167218852 / 2
LCM(64546,64562) = 2083609426

Least Common Multiple (LCM) of 64546 and 64562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64546 and 64562. First we will calculate the prime factors of 64546 and 64562.

Prime Factorization of 64546

Prime Factorization of 64562

Now multiplying the highest exponent prime factors to calculate the LCM of 64546 and 64562.

LCM(64546,64562) = 2¹ × 59¹ × 547¹ × 19¹ × 1699¹
LCM(64546,64562) = 2083609426