What is the Least Common Multiple of 70877 and 70894?
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 70877 and 70894 is 5024754038.
LCM(70877,70894) = 5024754038
Least Common Multiple of 70877 and 70894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70877 and 70894, than apply into the LCM equation.
GCF(70877,70894) = 1
LCM(70877,70894) = ( 70877 × 70894) / 1
LCM(70877,70894) = 5024754038 / 1
LCM(70877,70894) = 5024754038
Least Common Multiple (LCM) of 70877 and 70894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70877 and 70894. First we will calculate the prime factors of 70877 and 70894.
Prime Factorization of 70877
Prime factors of 70877 are 70877. Prime factorization of 70877 in exponential form is:
70877 = 708771
Prime Factorization of 70894
Prime factors of 70894 are 2, 35447. Prime factorization of 70894 in exponential form is:
70894 = 21 × 354471
Now multiplying the highest exponent prime factors to calculate the LCM of 70877 and 70894.
LCM(70877,70894) = 708771 × 21 × 354471
LCM(70877,70894) = 5024754038
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