What is the Least Common Multiple of 79386 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 79386 and 79394 is 3151386042.
LCM(79386,79394) = 3151386042
Least Common Multiple of 79386 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 79386 and 79394, than apply into the LCM equation.
GCF(79386,79394) = 2
LCM(79386,79394) = ( 79386 × 79394) / 2
LCM(79386,79394) = 6302772084 / 2
LCM(79386,79394) = 3151386042
Least Common Multiple (LCM) of 79386 and 79394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79386 and 79394. First we will calculate the prime factors of 79386 and 79394.
Prime Factorization of 79386
Prime factors of 79386 are 2, 3, 101, 131. Prime factorization of 79386 in exponential form is:
79386 = 21 × 31 × 1011 × 1311
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 79386 and 79394.
LCM(79386,79394) = 21 × 31 × 1011 × 1311 × 71 × 531 × 1071
LCM(79386,79394) = 3151386042
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