What is the Least Common Multiple of 42945 and 42960?

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 42945 and 42960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42945 and 42960, than apply into the LCM equation.

GCF(42945,42960) = 15
LCM(42945,42960) = ( 42945 × 42960) / 15
LCM(42945,42960) = 1844917200 / 15
LCM(42945,42960) = 122994480

Least Common Multiple (LCM) of 42945 and 42960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42945 and 42960. First we will calculate the prime factors of 42945 and 42960.

Prime Factorization of 42945

Prime Factorization of 42960

Now multiplying the highest exponent prime factors to calculate the LCM of 42945 and 42960.

LCM(42945,42960) = 3¹ × 5¹ × 7¹ × 409¹ × 2⁴ × 179¹
LCM(42945,42960) = 122994480