What is the Least Common Multiple of 69422 and 69432?
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 69422 and 69432 is 2410054152.
LCM(69422,69432) = 2410054152
Least Common Multiple of 69422 and 69432 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69422 and 69432, than apply into the LCM equation.
GCF(69422,69432) = 2
LCM(69422,69432) = ( 69422 × 69432) / 2
LCM(69422,69432) = 4820108304 / 2
LCM(69422,69432) = 2410054152
Least Common Multiple (LCM) of 69422 and 69432 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69422 and 69432. First we will calculate the prime factors of 69422 and 69432.
Prime Factorization of 69422
Prime factors of 69422 are 2, 103, 337. Prime factorization of 69422 in exponential form is:
69422 = 21 × 1031 × 3371
Prime Factorization of 69432
Prime factors of 69432 are 2, 3, 11, 263. Prime factorization of 69432 in exponential form is:
69432 = 23 × 31 × 111 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 69422 and 69432.
LCM(69422,69432) = 23 × 1031 × 3371 × 31 × 111 × 2631
LCM(69422,69432) = 2410054152
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