What is the Least Common Multiple of 70150 and 70170?
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 70150 and 70170 is 492242550.
LCM(70150,70170) = 492242550
Least Common Multiple of 70150 and 70170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70150 and 70170, than apply into the LCM equation.
GCF(70150,70170) = 10
LCM(70150,70170) = ( 70150 × 70170) / 10
LCM(70150,70170) = 4922425500 / 10
LCM(70150,70170) = 492242550
Least Common Multiple (LCM) of 70150 and 70170 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70150 and 70170. First we will calculate the prime factors of 70150 and 70170.
Prime Factorization of 70150
Prime factors of 70150 are 2, 5, 23, 61. Prime factorization of 70150 in exponential form is:
70150 = 21 × 52 × 231 × 611
Prime Factorization of 70170
Prime factors of 70170 are 2, 3, 5, 2339. Prime factorization of 70170 in exponential form is:
70170 = 21 × 31 × 51 × 23391
Now multiplying the highest exponent prime factors to calculate the LCM of 70150 and 70170.
LCM(70150,70170) = 21 × 52 × 231 × 611 × 31 × 23391
LCM(70150,70170) = 492242550
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