What is the Least Common Multiple of 73614 and 73622?
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 (LCM) of 73614 and 73622 is 2709804954.
LCM(73614,73622) = 2709804954
Least Common Multiple of 73614 and 73622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73614 and 73622, than apply into the LCM equation.
GCF(73614,73622) = 2
LCM(73614,73622) = ( 73614 × 73622) / 2
LCM(73614,73622) = 5419609908 / 2
LCM(73614,73622) = 2709804954
Least Common Multiple (LCM) of 73614 and 73622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 73614 and 73622. First we will calculate the prime factors of 73614 and 73622.
Prime Factorization of 73614
Prime factors of 73614 are 2, 3, 12269. Prime factorization of 73614 in exponential form is:
73614 = 21 × 31 × 122691
Prime Factorization of 73622
Prime factors of 73622 are 2, 131, 281. Prime factorization of 73622 in exponential form is:
73622 = 21 × 1311 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 73614 and 73622.
LCM(73614,73622) = 21 × 31 × 122691 × 1311 × 2811
LCM(73614,73622) = 2709804954
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