What is the Least Common Multiple of 77035 and 77043?
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 77035 and 77043 is 5935007505.
LCM(77035,77043) = 5935007505
Least Common Multiple of 77035 and 77043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77035 and 77043, than apply into the LCM equation.
GCF(77035,77043) = 1
LCM(77035,77043) = ( 77035 × 77043) / 1
LCM(77035,77043) = 5935007505 / 1
LCM(77035,77043) = 5935007505
Least Common Multiple (LCM) of 77035 and 77043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77035 and 77043. First we will calculate the prime factors of 77035 and 77043.
Prime Factorization of 77035
Prime factors of 77035 are 5, 7, 31, 71. Prime factorization of 77035 in exponential form is:
77035 = 51 × 71 × 311 × 711
Prime Factorization of 77043
Prime factors of 77043 are 3, 61, 421. Prime factorization of 77043 in exponential form is:
77043 = 31 × 611 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 77035 and 77043.
LCM(77035,77043) = 51 × 71 × 311 × 711 × 31 × 611 × 4211
LCM(77035,77043) = 5935007505
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