What is the Least Common Multiple of 350 and 370?
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 350 and 370 is 12950.
LCM(350,370) = 12950
Least Common Multiple of 350 and 370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 350 and 370, than apply into the LCM equation.
GCF(350,370) = 10
LCM(350,370) = ( 350 × 370) / 10
LCM(350,370) = 129500 / 10
LCM(350,370) = 12950
Least Common Multiple (LCM) of 350 and 370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 350 and 370. First we will calculate the prime factors of 350 and 370.
Prime Factorization of 350
Prime factors of 350 are 2, 5, 7. Prime factorization of 350 in exponential form is:
350 = 21 × 52 × 71
Prime Factorization of 370
Prime factors of 370 are 2, 5, 37. Prime factorization of 370 in exponential form is:
370 = 21 × 51 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 350 and 370.
LCM(350,370) = 21 × 52 × 71 × 371
LCM(350,370) = 12950
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