What is the Least Common Multiple of 64540 and 64546?

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 64540 and 64546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64540 and 64546, than apply into the LCM equation.

GCF(64540,64546) = 2
LCM(64540,64546) = ( 64540 × 64546) / 2
LCM(64540,64546) = 4165798840 / 2
LCM(64540,64546) = 2082899420

Least Common Multiple (LCM) of 64540 and 64546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64540 and 64546. First we will calculate the prime factors of 64540 and 64546.

Prime Factorization of 64540

Prime Factorization of 64546

Now multiplying the highest exponent prime factors to calculate the LCM of 64540 and 64546.

LCM(64540,64546) = 2² × 5¹ × 7¹ × 461¹ × 59¹ × 547¹
LCM(64540,64546) = 2082899420