What is the Least Common Multiple of 74940 and 74945?

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 74940 and 74945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74940 and 74945, than apply into the LCM equation.

GCF(74940,74945) = 5
LCM(74940,74945) = ( 74940 × 74945) / 5
LCM(74940,74945) = 5616378300 / 5
LCM(74940,74945) = 1123275660

Least Common Multiple (LCM) of 74940 and 74945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74940 and 74945. First we will calculate the prime factors of 74940 and 74945.

Prime Factorization of 74940

Prime Factorization of 74945

Now multiplying the highest exponent prime factors to calculate the LCM of 74940 and 74945.

LCM(74940,74945) = 2² × 3¹ × 5¹ × 1249¹ × 13¹ × 1153¹
LCM(74940,74945) = 1123275660