What is the Least Common Multiple of 69712 and 69718?
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 69712 and 69718 is 2430090608.
LCM(69712,69718) = 2430090608
Least Common Multiple of 69712 and 69718 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69712 and 69718, than apply into the LCM equation.
GCF(69712,69718) = 2
LCM(69712,69718) = ( 69712 × 69718) / 2
LCM(69712,69718) = 4860181216 / 2
LCM(69712,69718) = 2430090608
Least Common Multiple (LCM) of 69712 and 69718 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69712 and 69718. First we will calculate the prime factors of 69712 and 69718.
Prime Factorization of 69712
Prime factors of 69712 are 2, 4357. Prime factorization of 69712 in exponential form is:
69712 = 24 × 43571
Prime Factorization of 69718
Prime factors of 69718 are 2, 11, 3169. Prime factorization of 69718 in exponential form is:
69718 = 21 × 111 × 31691
Now multiplying the highest exponent prime factors to calculate the LCM of 69712 and 69718.
LCM(69712,69718) = 24 × 43571 × 111 × 31691
LCM(69712,69718) = 2430090608
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