What is the Least Common Multiple of 69662 and 69682?
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 69662 and 69682 is 2427093742.
LCM(69662,69682) = 2427093742
Least Common Multiple of 69662 and 69682 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69662 and 69682, than apply into the LCM equation.
GCF(69662,69682) = 2
LCM(69662,69682) = ( 69662 × 69682) / 2
LCM(69662,69682) = 4854187484 / 2
LCM(69662,69682) = 2427093742
Least Common Multiple (LCM) of 69662 and 69682 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69662 and 69682. First we will calculate the prime factors of 69662 and 69682.
Prime Factorization of 69662
Prime factors of 69662 are 2, 61, 571. Prime factorization of 69662 in exponential form is:
69662 = 21 × 611 × 5711
Prime Factorization of 69682
Prime factors of 69682 are 2, 34841. Prime factorization of 69682 in exponential form is:
69682 = 21 × 348411
Now multiplying the highest exponent prime factors to calculate the LCM of 69662 and 69682.
LCM(69662,69682) = 21 × 611 × 5711 × 348411
LCM(69662,69682) = 2427093742
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