What is the Least Common Multiple of 71974 and 71984?

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 71974 and 71984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71974 and 71984, than apply into the LCM equation.

GCF(71974,71984) = 2
LCM(71974,71984) = ( 71974 × 71984) / 2
LCM(71974,71984) = 5180976416 / 2
LCM(71974,71984) = 2590488208

Least Common Multiple (LCM) of 71974 and 71984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71974 and 71984. First we will calculate the prime factors of 71974 and 71984.

Prime Factorization of 71974

Prime Factorization of 71984

Now multiplying the highest exponent prime factors to calculate the LCM of 71974 and 71984.

LCM(71974,71984) = 2⁴ × 7¹ × 53¹ × 97¹ × 11¹ × 409¹
LCM(71974,71984) = 2590488208