What is the Least Common Multiple of 70698 and 70705?
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 70698 and 70705 is 4998702090.
LCM(70698,70705) = 4998702090
Least Common Multiple of 70698 and 70705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70698 and 70705, than apply into the LCM equation.
GCF(70698,70705) = 1
LCM(70698,70705) = ( 70698 × 70705) / 1
LCM(70698,70705) = 4998702090 / 1
LCM(70698,70705) = 4998702090
Least Common Multiple (LCM) of 70698 and 70705 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70698 and 70705. First we will calculate the prime factors of 70698 and 70705.
Prime Factorization of 70698
Prime factors of 70698 are 2, 3, 11783. Prime factorization of 70698 in exponential form is:
70698 = 21 × 31 × 117831
Prime Factorization of 70705
Prime factors of 70705 are 5, 79, 179. Prime factorization of 70705 in exponential form is:
70705 = 51 × 791 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 70698 and 70705.
LCM(70698,70705) = 21 × 31 × 117831 × 51 × 791 × 1791
LCM(70698,70705) = 4998702090
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