What is the Least Common Multiple of 358 and 378?
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 358 and 378 is 67662.
LCM(358,378) = 67662
Least Common Multiple of 358 and 378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 358 and 378, than apply into the LCM equation.
GCF(358,378) = 2
LCM(358,378) = ( 358 × 378) / 2
LCM(358,378) = 135324 / 2
LCM(358,378) = 67662
Least Common Multiple (LCM) of 358 and 378 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 358 and 378. First we will calculate the prime factors of 358 and 378.
Prime Factorization of 358
Prime factors of 358 are 2, 179. Prime factorization of 358 in exponential form is:
358 = 21 × 1791
Prime Factorization of 378
Prime factors of 378 are 2, 3, 7. Prime factorization of 378 in exponential form is:
378 = 21 × 33 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 358 and 378.
LCM(358,378) = 21 × 1791 × 33 × 71
LCM(358,378) = 67662
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