What is the Least Common Multiple of 370 and 385?
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 370 and 385 is 28490.
LCM(370,385) = 28490
Least Common Multiple of 370 and 385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 370 and 385, than apply into the LCM equation.
GCF(370,385) = 5
LCM(370,385) = ( 370 × 385) / 5
LCM(370,385) = 142450 / 5
LCM(370,385) = 28490
Least Common Multiple (LCM) of 370 and 385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 370 and 385. First we will calculate the prime factors of 370 and 385.
Prime Factorization of 370
Prime factors of 370 are 2, 5, 37. Prime factorization of 370 in exponential form is:
370 = 21 × 51 × 371
Prime Factorization of 385
Prime factors of 385 are 5, 7, 11. Prime factorization of 385 in exponential form is:
385 = 51 × 71 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 370 and 385.
LCM(370,385) = 21 × 51 × 371 × 71 × 111
LCM(370,385) = 28490
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