What is the Least Common Multiple of 42540 and 42546?

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 42540 and 42546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42540 and 42546, than apply into the LCM equation.

GCF(42540,42546) = 6
LCM(42540,42546) = ( 42540 × 42546) / 6
LCM(42540,42546) = 1809906840 / 6
LCM(42540,42546) = 301651140

Least Common Multiple (LCM) of 42540 and 42546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42540 and 42546. First we will calculate the prime factors of 42540 and 42546.

Prime Factorization of 42540

Prime Factorization of 42546

Now multiplying the highest exponent prime factors to calculate the LCM of 42540 and 42546.

LCM(42540,42546) = 2² × 3¹ × 5¹ × 709¹ × 7¹ × 1013¹
LCM(42540,42546) = 301651140