What is the Least Common Multiple of 70211 and 70231?
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 70211 and 70231 is 4930988741.
LCM(70211,70231) = 4930988741
Least Common Multiple of 70211 and 70231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70211 and 70231, than apply into the LCM equation.
GCF(70211,70231) = 1
LCM(70211,70231) = ( 70211 × 70231) / 1
LCM(70211,70231) = 4930988741 / 1
LCM(70211,70231) = 4930988741
Least Common Multiple (LCM) of 70211 and 70231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70211 and 70231. First we will calculate the prime factors of 70211 and 70231.
Prime Factorization of 70211
Prime factors of 70211 are 61, 1151. Prime factorization of 70211 in exponential form is:
70211 = 611 × 11511
Prime Factorization of 70231
Prime factors of 70231 are 7, 79, 127. Prime factorization of 70231 in exponential form is:
70231 = 71 × 791 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 70211 and 70231.
LCM(70211,70231) = 611 × 11511 × 71 × 791 × 1271
LCM(70211,70231) = 4930988741
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