What is the Least Common Multiple of 79378 and 79394?
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 79378 and 79394 is 3151068466.
LCM(79378,79394) = 3151068466
Least Common Multiple of 79378 and 79394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79378 and 79394, than apply into the LCM equation.
GCF(79378,79394) = 2
LCM(79378,79394) = ( 79378 × 79394) / 2
LCM(79378,79394) = 6302136932 / 2
LCM(79378,79394) = 3151068466
Least Common Multiple (LCM) of 79378 and 79394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79378 and 79394. First we will calculate the prime factors of 79378 and 79394.
Prime Factorization of 79378
Prime factors of 79378 are 2, 13, 43, 71. Prime factorization of 79378 in exponential form is:
79378 = 21 × 131 × 431 × 711
Prime Factorization of 79394
Prime factors of 79394 are 2, 7, 53, 107. Prime factorization of 79394 in exponential form is:
79394 = 21 × 71 × 531 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 79378 and 79394.
LCM(79378,79394) = 21 × 131 × 431 × 711 × 71 × 531 × 1071
LCM(79378,79394) = 3151068466
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