What is the Least Common Multiple of 70119 and 70127?
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 70119 and 70127 is 4917235113.
LCM(70119,70127) = 4917235113
Least Common Multiple of 70119 and 70127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70119 and 70127, than apply into the LCM equation.
GCF(70119,70127) = 1
LCM(70119,70127) = ( 70119 × 70127) / 1
LCM(70119,70127) = 4917235113 / 1
LCM(70119,70127) = 4917235113
Least Common Multiple (LCM) of 70119 and 70127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70119 and 70127. First we will calculate the prime factors of 70119 and 70127.
Prime Factorization of 70119
Prime factors of 70119 are 3, 7, 53. Prime factorization of 70119 in exponential form is:
70119 = 33 × 72 × 531
Prime Factorization of 70127
Prime factors of 70127 are 23, 3049. Prime factorization of 70127 in exponential form is:
70127 = 231 × 30491
Now multiplying the highest exponent prime factors to calculate the LCM of 70119 and 70127.
LCM(70119,70127) = 33 × 72 × 531 × 231 × 30491
LCM(70119,70127) = 4917235113
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