What is the Least Common Multiple of 42938 and 42945?

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 42938 and 42945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42938 and 42945, than apply into the LCM equation.

GCF(42938,42945) = 7
LCM(42938,42945) = ( 42938 × 42945) / 7
LCM(42938,42945) = 1843972410 / 7
LCM(42938,42945) = 263424630

Least Common Multiple (LCM) of 42938 and 42945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42938 and 42945. First we will calculate the prime factors of 42938 and 42945.

Prime Factorization of 42938

Prime Factorization of 42945

Now multiplying the highest exponent prime factors to calculate the LCM of 42938 and 42945.

LCM(42938,42945) = 2¹ × 7¹ × 3067¹ × 3¹ × 5¹ × 409¹
LCM(42938,42945) = 263424630