What is the Least Common Multiple of 70989 and 70995?
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 70989 and 70995 is 1679954685.
LCM(70989,70995) = 1679954685
Least Common Multiple of 70989 and 70995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70989 and 70995, than apply into the LCM equation.
GCF(70989,70995) = 3
LCM(70989,70995) = ( 70989 × 70995) / 3
LCM(70989,70995) = 5039864055 / 3
LCM(70989,70995) = 1679954685
Least Common Multiple (LCM) of 70989 and 70995 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70989 and 70995. First we will calculate the prime factors of 70989 and 70995.
Prime Factorization of 70989
Prime factors of 70989 are 3, 23663. Prime factorization of 70989 in exponential form is:
70989 = 31 × 236631
Prime Factorization of 70995
Prime factors of 70995 are 3, 5, 4733. Prime factorization of 70995 in exponential form is:
70995 = 31 × 51 × 47331
Now multiplying the highest exponent prime factors to calculate the LCM of 70989 and 70995.
LCM(70989,70995) = 31 × 236631 × 51 × 47331
LCM(70989,70995) = 1679954685
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