What is the Least Common Multiple of 70847 and 70863?
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 70847 and 70863 is 5020430961.
LCM(70847,70863) = 5020430961
Least Common Multiple of 70847 and 70863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70847 and 70863, than apply into the LCM equation.
GCF(70847,70863) = 1
LCM(70847,70863) = ( 70847 × 70863) / 1
LCM(70847,70863) = 5020430961 / 1
LCM(70847,70863) = 5020430961
Least Common Multiple (LCM) of 70847 and 70863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70847 and 70863. First we will calculate the prime factors of 70847 and 70863.
Prime Factorization of 70847
Prime factors of 70847 are 7, 29, 349. Prime factorization of 70847 in exponential form is:
70847 = 71 × 291 × 3491
Prime Factorization of 70863
Prime factors of 70863 are 3, 13, 23, 79. Prime factorization of 70863 in exponential form is:
70863 = 31 × 131 × 231 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 70847 and 70863.
LCM(70847,70863) = 71 × 291 × 3491 × 31 × 131 × 231 × 791
LCM(70847,70863) = 5020430961
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