What is the Least Common Multiple of 70204 and 70211?
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 70204 and 70211 is 4929093044.
LCM(70204,70211) = 4929093044
Least Common Multiple of 70204 and 70211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70204 and 70211, than apply into the LCM equation.
GCF(70204,70211) = 1
LCM(70204,70211) = ( 70204 × 70211) / 1
LCM(70204,70211) = 4929093044 / 1
LCM(70204,70211) = 4929093044
Least Common Multiple (LCM) of 70204 and 70211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70204 and 70211. First we will calculate the prime factors of 70204 and 70211.
Prime Factorization of 70204
Prime factors of 70204 are 2, 17551. Prime factorization of 70204 in exponential form is:
70204 = 22 × 175511
Prime Factorization of 70211
Prime factors of 70211 are 61, 1151. Prime factorization of 70211 in exponential form is:
70211 = 611 × 11511
Now multiplying the highest exponent prime factors to calculate the LCM of 70204 and 70211.
LCM(70204,70211) = 22 × 175511 × 611 × 11511
LCM(70204,70211) = 4929093044
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