What is the Least Common Multiple of 30704 and 30722?

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 30704 and 30722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30704 and 30722, than apply into the LCM equation.

GCF(30704,30722) = 2
LCM(30704,30722) = ( 30704 × 30722) / 2
LCM(30704,30722) = 943288288 / 2
LCM(30704,30722) = 471644144

Least Common Multiple (LCM) of 30704 and 30722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30704 and 30722. First we will calculate the prime factors of 30704 and 30722.

Prime Factorization of 30704

Prime Factorization of 30722

Now multiplying the highest exponent prime factors to calculate the LCM of 30704 and 30722.

LCM(30704,30722) = 2⁴ × 19¹ × 101¹ × 15361¹
LCM(30704,30722) = 471644144