What is the Least Common Multiple of 70155 and 70159?
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 70155 and 70159 is 4922004645.
LCM(70155,70159) = 4922004645
Least Common Multiple of 70155 and 70159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70155 and 70159, than apply into the LCM equation.
GCF(70155,70159) = 1
LCM(70155,70159) = ( 70155 × 70159) / 1
LCM(70155,70159) = 4922004645 / 1
LCM(70155,70159) = 4922004645
Least Common Multiple (LCM) of 70155 and 70159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70155 and 70159. First we will calculate the prime factors of 70155 and 70159.
Prime Factorization of 70155
Prime factors of 70155 are 3, 5, 1559. Prime factorization of 70155 in exponential form is:
70155 = 32 × 51 × 15591
Prime Factorization of 70159
Prime factors of 70159 are 17, 4127. Prime factorization of 70159 in exponential form is:
70159 = 171 × 41271
Now multiplying the highest exponent prime factors to calculate the LCM of 70155 and 70159.
LCM(70155,70159) = 32 × 51 × 15591 × 171 × 41271
LCM(70155,70159) = 4922004645
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