What is the Least Common Multiple of 70802 and 70815?
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 70802 and 70815 is 5013843630.
LCM(70802,70815) = 5013843630
Least Common Multiple of 70802 and 70815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70802 and 70815, than apply into the LCM equation.
GCF(70802,70815) = 1
LCM(70802,70815) = ( 70802 × 70815) / 1
LCM(70802,70815) = 5013843630 / 1
LCM(70802,70815) = 5013843630
Least Common Multiple (LCM) of 70802 and 70815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70802 and 70815. First we will calculate the prime factors of 70802 and 70815.
Prime Factorization of 70802
Prime factors of 70802 are 2, 35401. Prime factorization of 70802 in exponential form is:
70802 = 21 × 354011
Prime Factorization of 70815
Prime factors of 70815 are 3, 5, 4721. Prime factorization of 70815 in exponential form is:
70815 = 31 × 51 × 47211
Now multiplying the highest exponent prime factors to calculate the LCM of 70802 and 70815.
LCM(70802,70815) = 21 × 354011 × 31 × 51 × 47211
LCM(70802,70815) = 5013843630
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