What is the Least Common Multiple of 73970 and 73974?

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 73970 and 73974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73970 and 73974, than apply into the LCM equation.

GCF(73970,73974) = 2
LCM(73970,73974) = ( 73970 × 73974) / 2
LCM(73970,73974) = 5471856780 / 2
LCM(73970,73974) = 2735928390

Least Common Multiple (LCM) of 73970 and 73974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73970 and 73974. First we will calculate the prime factors of 73970 and 73974.

Prime Factorization of 73970

Prime Factorization of 73974

Now multiplying the highest exponent prime factors to calculate the LCM of 73970 and 73974.

LCM(73970,73974) = 2¹ × 5¹ × 13¹ × 569¹ × 3¹ × 12329¹
LCM(73970,73974) = 2735928390